Publications

Journal publications and preprints

1. Lexicographic shellability, matroids and pure order ideals. (with Steven Klee) Advances in Applied Mathematics, 67 (2015), 1-19.

2. The topology of the external activity complex of a matroid. (with Federico Ardila and Federico Castillo) Electronic Journal of Combinatorics, 23 (2016), #P3.8.

3. Higher chordality: from graphs to complexes.  (with Karim Adiprasito  and Eran Nevo) Proceedings of the American Mathematical Society, 144(2016), no. 8, 3317-3329.

4. A geometric lower bound theorem. (with Karim Adiprasito and Eran Nevo) Geometric and Functional Analysis, 26(2016), no. 2, 359-378.

5. Quasimatroidal classes of ordered simplicial complexes.  Journal of Combinatorial Theory Series  A,  175 (2020), 105274

6. Finiteness theorems for Matroid Complexes with prescribed topology. (with Federico Castillo) European Journal of Combinatorics 92 (2021), 103239.

7. Dual matroid polytopes and internal activities of independence complexes. (with Alex Heaton). Submitted.

8. Reciprocal maximum likelihood degrees of diagonal linear concentration models. (with Christopher Eur, Tara Fife and Tim Seynnaeve). Le Matematiche 76(2) (2021)

9. Hopf monoids of ordered simplicial complexes. (with Federico Castillo and Jeremy Martin). Submitted. 

10. The cone of 5x5 completely positive matrices. (with Max Pfeffer). Discrete and Computational Geometry 71(2024), 442-466

11. Common tangents to polytopes. (with Federico Castillo and Joseph Doolittle). Submitted. 

12. Unbounded matroids. (with Jonah Berggren and Jeremy Martin). Submitted. 

13. The cd-index of a semi-Eulerian poset. (with Martina Juhnke and Lorenzo Venturello). 

Conference proceedings

1. Polytopes and smooth convex bodies. (with Karim Adiprasito). Proceedings of FPSAC 2014. (refereed)

2. Relaxations of matroid complexes. Oberwolfach Reports 2014. 

3. Relaxations of matroid complexes. FPSAC 2016. (refereed)

4. The topology of the external activity complex of a matroid. (with Federico Ardila and Federico Castillo). FPSAC 2016 (refereed)

5. Finiteness theorems for Matroid Complexes with prescribed topology. (with Federico Castillo). FPSAC 2019 (refereed)

6. Hopf monoids of ordered simplicial complexes. (with Federico Castillo and Jeremy Martin). Oberwolfach Reoprts 2019. 

7. Hopf monoids of ordered simplicial complexes. (with Federico Castillo and Jeremy Martin). FPSAC 2020 (refereed)

Other publications

1. Cibercoloquio Latinoamericano de Matemáticas (with Daniel Campos Salas, Manuel Rivera, María Amelia Salazar, Jose Simental and Soledad Villar). Notices of the American Mathematical Society. May 2021.